Triangle congruence proofs

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What does it mean for a line to bisect an angle?

Back

To bisect an angle means to divide it into two equal parts.

Front

What is the first statement in the reason column of a proof?

Back

The first statement is 'Given', which states the information provided in the problem.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that vertical angles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that if a point lies on the bisector of an angle, it is equidistant from the sides of the angle.

Front

What does the term 'corresponding parts' refer to in triangle congruence?

Back

Corresponding parts refer to the sides and angles of triangles that are in the same relative position.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Congruence Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.